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motikmotik
2 years ago
12

Best estimate for 61/7

Mathematics
1 answer:
Ne4ueva [31]2 years ago
8 0

I would say the best estimate would be 9 because the real answer is 8.71 and if you round that to the 1 place the answer would be 9.

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Use the substitution and to rewrite the equations in the system in terms of the variables and . Solve the system in terms of u a
Tatiana [17]

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

4 0
2 years ago
If 15 workers did a job is 8 hours, how long would it take 5 workers to do half of this job?
babymother [125]
Since 15 workers did 8 hours of work, the total amount of work needed is 120 hours. Half of this job would be 60 hours. Then divide this amount by the 5 workers doing the job. This would make the job 12 hours
8 0
2 years ago
Read 2 more answers
Find the value of X, please explain!
Monica [59]
All four angles are exterior angles of the quadrilateral.

We know that the sum of exterior angles of any polygon is 360 ° .

So we can add together the four angles and solve for x:
(x+16)+(3x-1)+6x+5x = 360
15x+15=360
15x=345
x=345/15=23 °

4 0
2 years ago
What tmes what equals 21?
ivann1987 [24]
3 x 7  because three, seven times is 21
3 0
3 years ago
Read 2 more answers
Determine the slope of a
AysviL [449]

Answer:

<em>m</em> = 3/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}
  • Perpendicular lines are the negative reciprocal of the given line

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point G(-2, 3)

Point H(1, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

<em />

<em>Line GH</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-2-3}{1--2}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{-5}{3}

<em>Perpendicular line</em>

  1. Negative:                                                                                                           \displaystyle m = \frac{5}{3}
  2. Reciprocate:                                                                                                      \displaystyle m = \frac{3}{5}
4 0
2 years ago
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